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115457117004 = 223241115367843
BaseRepresentation
bin110101110000111000…
…1111100101101001100
3102001000101221020120200
41223201301330231030
53342424010221004
6125012410413500
711225064205365
oct1534161745514
9361011836520
10115457117004
1144a68594969
121a462431290
13ab6cc77a18
145833c76b6c
15300b246239
hex1ae1c7cb4c

115457117004 has 72 divisors (see below), whose sum is σ = 299231932272. Its totient is φ = 37513912320.

The previous prime is 115457116997. The next prime is 115457117093. The reversal of 115457117004 is 400711754511.

115457117004 is a `hidden beast` number, since 1 + 15 + 4 + 571 + 1 + 70 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 115457117004.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1667907 + ... + 1735749.

Almost surely, 2115457117004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 115457117004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149615966136).

115457117004 is an abundant number, since it is smaller than the sum of its proper divisors (183774815268).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

115457117004 is a wasteful number, since it uses less digits than its factorization.

115457117004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69047 (or 69042 counting only the distinct ones).

The product of its (nonzero) digits is 19600, while the sum is 36.

The spelling of 115457117004 in words is "one hundred fifteen billion, four hundred fifty-seven million, one hundred seventeen thousand, four".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 123 164 246 369 492 738 1153 1476 2306 3459 4612 6918 10377 13836 20754 41508 47273 67843 94546 135686 141819 189092 203529 271372 283638 407058 425457 567276 610587 814116 850914 1221174 1701828 2442348 2781563 5563126 8344689 11126252 16689378 25034067 33378756 50068134 78222979 100136268 156445958 234668937 312891916 469337874 704006811 938675748 1408013622 2816027244 3207142139 6414284278 9621426417 12828568556 19242852834 28864279251 38485705668 57728558502 115457117004